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        Module&nbsp;Utils
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<h1 class="epydoc">Source Code for <a href="Utils-module.html">Module Utils</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment">#!/usr/bin/env python</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##################################################################################################################</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##                                                                                                               #</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   Animation.py illustrates the behaviour of the Kac's Ring Model                                              #</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##                                                                                                               #</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   Copyright (C) 2008  Patrinica Vitalie, Prof. Dr. Marcel Oliver, Jacobs University Bremen                    #</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##                                                                                                               #</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   This program is free software: you can redistribute it and/or modify it under the terms                     #</tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   of the GNU General Public License as published by the Free Software Foundation, version 3.                  #</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##                                                                                                               #</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;                   #</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                   #</tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   See the GNU General Public License for more details.                                                        #</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##                                                                                                               #</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   You should have received a copy of the GNU General Public License along with this program.                  #</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##   If not, see &lt;http://www.gnu.org/licenses/&gt;.                                                                 #</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##################################################################################################################</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">################################ IMPORT LIST #####################################################################</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##################################################################################################################</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">random</tt> <tt class="py-keyword">import</tt> <tt class="py-name">rand</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">math</tt> <tt class="py-keyword">import</tt> <tt id="link-0" class="py-name" targets="Variable Canvas.hypot=Canvas-module.html#hypot"><a title="Canvas.hypot" class="py-name" href="#" onclick="return doclink('link-0', 'hypot', 'link-0');">hypot</a></tt><tt class="py-op">,</tt> <tt class="py-name">atan2</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">PIL</tt> <tt class="py-keyword">import</tt> <tt class="py-name">Image</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">wx</tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"><tt class="py-comment">##################################################################################################################</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"> </tt>
<a name="InitialComputation"></a><div id="InitialComputation-def"><a name="L32"></a><tt class="py-lineno"> 32</tt> <a class="py-toggle" href="#" id="InitialComputation-toggle" onclick="return toggle('InitialComputation');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Utils-module.html#InitialComputation">InitialComputation</a><tt class="py-op">(</tt><tt class="py-param">size</tt><tt class="py-op">,</tt> <tt class="py-param">basic_args</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="InitialComputation-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="InitialComputation-expanded"><a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"><tt class="py-docstring">    This routine performs the routine of calculation the array of the pixels of the first</tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"><tt class="py-docstring">    frame.</tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"><tt class="py-docstring">    @param size: the size of the biggest square which fits in the current display</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"><tt class="py-docstring">    @param basic_args: the triplet of parameters of the following form:</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line"><tt class="py-docstring">    (density, number of coarsegraining B{rings})</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"><tt class="py-docstring">    @return: the computed values necessary for the first image frame, the array which</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line"><tt class="py-docstring">    retains the colours of the pixels, the colour pallette, the bounds rindex, sindex</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line"> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line">    <tt class="py-name">random</tt><tt class="py-op">.</tt><tt class="py-name">seed</tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line">    <tt class="py-op">(</tt><tt class="py-name">mu</tt><tt class="py-op">,</tt> <tt class="py-name">k</tt><tt class="py-op">,</tt> <tt class="py-name">colour</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">basic_args</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line">    <tt class="py-name">N</tt> <tt class="py-op">=</tt> <tt class="py-number">2</tt><tt class="py-op">**</tt><tt class="py-name">k</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line">     </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line">    <tt class="py-string">"""</tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-string">    B{N}: Size of Kac ring (=outermost ring)</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line">    <tt class="py-name">T</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line">    <tt class="py-string">"""</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"><tt class="py-string">    B{T}: Number of time steps</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line">    <tt class="py-string">"""</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line"><tt class="py-string">    B{mu}: Probability that an edge carries a marker</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line">     </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">    <tt class="py-name">nu</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line">    <tt class="py-string">"""</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-string">    B{nu}: Probability that a site is initially black</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-name">size</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line">    <tt class="py-string">"""</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line"><tt class="py-string">    B{P}: Number of pixels in image</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line"> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">    <tt class="py-name">c</tt> <tt class="py-op">=</tt> <tt class="py-name">zeros</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">3</tt><tt class="py-op">,</tt><tt class="py-name">N</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">float</tt><tt class="py-op">)</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">    <tt class="py-string">""" White """</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">    <tt class="py-name">c</tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">127</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line">    <tt class="py-name">c</tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">255</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line">    <tt class="py-string">""" Black """</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line"> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">    <tt class="py-name">c</tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">127</tt> <tt class="py-op">+</tt> <tt class="py-number">128</tt><tt class="py-op">*</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">rand</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">)</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">mu</tt><tt class="py-op">*</tt><tt class="py-name">ones</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">float</tt><tt class="py-op">)</tt>  </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">    <tt class="py-name">c</tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">,</tt><tt class="py-op">:</tt><tt class="py-op">]</tt>   <tt class="py-op">=</tt> <tt class="py-number">254</tt> <tt class="py-op">*</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">rand</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">)</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">nu</tt><tt class="py-op">*</tt><tt class="py-name">ones</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">float</tt><tt class="py-op">)</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line"> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">    <tt class="py-name">rindex</tt> <tt class="py-op">=</tt> <tt class="py-name">empty</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">P</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">intp</tt><tt class="py-op">)</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">    <tt class="py-name">sindex</tt> <tt class="py-op">=</tt> <tt class="py-name">empty</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">P</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">intp</tt><tt class="py-op">)</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line"> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line">            <tt class="py-name">x</tt> <tt class="py-op">=</tt> <tt class="py-name">i</tt><tt class="py-op">-</tt><tt class="py-name">P</tt><tt class="py-op">/</tt><tt class="py-number">2.0</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line">            <tt class="py-name">y</tt> <tt class="py-op">=</tt> <tt class="py-name">j</tt><tt class="py-op">-</tt><tt class="py-name">P</tt><tt class="py-op">/</tt><tt class="py-number">2.0</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">            <tt class="py-name">r</tt> <tt class="py-op">=</tt> <tt id="link-1" class="py-name"><a title="Canvas.hypot" class="py-name" href="#" onclick="return doclink('link-1', 'hypot', 'link-0');">hypot</a></tt> <tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">,</tt><tt class="py-name">y</tt><tt class="py-op">)</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">            <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt class="py-name">atan2</tt> <tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">,</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt id="link-2" class="py-name" targets="Variable Canvas.pi=Canvas-module.html#pi,Variable Utils.pi=Utils-module.html#pi"><a title="Canvas.pi
Utils.pi" class="py-name" href="#" onclick="return doclink('link-2', 'pi', 'link-2');">pi</a></tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">            <tt class="py-name">rindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">intp</tt> <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">0.46</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">rindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">k</tt><tt class="py-op">:</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">                <tt class="py-keyword">if</tt> <tt class="py-number">0.47</tt><tt class="py-op">*</tt><tt class="py-name">P</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">r</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0.49</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">:</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">                    <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt class="py-name">s</tt> <tt class="py-op">-</tt> <tt id="link-3" class="py-name"><a title="Canvas.pi
Utils.pi" class="py-name" href="#" onclick="return doclink('link-3', 'pi', 'link-2');">pi</a></tt><tt class="py-op">/</tt><tt class="py-name">N</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">                    <tt class="py-keyword">if</tt> <tt class="py-name">s</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0.0</tt><tt class="py-op">:</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line">                        <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt class="py-name">s</tt> <tt class="py-op">+</tt> <tt class="py-number">2</tt><tt class="py-op">*</tt><tt id="link-4" class="py-name"><a title="Canvas.pi
Utils.pi" class="py-name" href="#" onclick="return doclink('link-4', 'pi', 'link-2');">pi</a></tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">                    <tt class="py-name">rindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">1</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line">                    <tt class="py-name">sindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">min</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-name">intp</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">*</tt><tt class="py-name">s</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt id="link-5" class="py-name"><a title="Canvas.pi
Utils.pi" class="py-name" href="#" onclick="return doclink('link-5', 'pi', 'link-2');">pi</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line">                <tt class="py-keyword">elif</tt> <tt class="py-name">r</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">0.5</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">:</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">                    <tt class="py-name">rindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">2</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line">                    <tt class="py-name">sindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">1</tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line">                <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">                    <tt class="py-name">rindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">k</tt><tt class="py-op">+</tt><tt class="py-number">2</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line">                    <tt class="py-name">sindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line">            <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line">                <tt class="py-name">sindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">min</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">**</tt><tt class="py-name">rindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-name">intp</tt> <tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">**</tt><tt class="py-name">rindex</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">,</tt><tt class="py-name">j</tt><tt class="py-op">]</tt><tt class="py-op">*</tt><tt class="py-name">s</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt id="link-6" class="py-name"><a title="Canvas.pi
Utils.pi" class="py-name" href="#" onclick="return doclink('link-6', 'pi', 'link-2');">pi</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line"> </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line"> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">     </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line">    <tt class="py-name">red_th</tt> <tt class="py-op">=</tt> <tt class="py-name">colour</tt><tt class="py-op">.</tt><tt class="py-name">Red</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line">    <tt class="py-name">green_th</tt> <tt class="py-op">=</tt><tt class="py-name">colour</tt><tt class="py-op">.</tt><tt class="py-name">Green</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line">    <tt class="py-name">blue_th</tt> <tt class="py-op">=</tt> <tt class="py-name">colour</tt><tt class="py-op">.</tt><tt class="py-name">Blue</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">     </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line"> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line">    <tt class="py-keyword">def</tt> <tt class="py-def-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-param">i</tt><tt class="py-op">,</tt> <tt class="py-param">low_pass_th</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-docstring">        Auxiliary function which has the shape of the spectrum of a low-pass filter in the</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring">        log scale</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-docstring">        @param i: the index of the colour pallete element, integer from the interval 0..255</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-docstring">        @param low_pass_th: the maximal value of function</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-docstring">        @return: the colour of the given element</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">i</tt><tt class="py-op">&lt;</tt><tt class="py-number">64</tt><tt class="py-op">:</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-number">255</tt> <tt class="py-op">-</tt> <tt class="py-name">low_pass_th</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">64.0</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">low_pass_th</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">i</tt><tt class="py-op">&lt;</tt><tt class="py-number">128</tt><tt class="py-op">:</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-number">255</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">low_pass_th</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">255</tt><tt class="py-op">-</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">128.0</tt> <tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
</div><a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">         </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">    <tt class="py-keyword">def</tt> <tt class="py-def-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-param">i</tt><tt class="py-op">,</tt> <tt class="py-param">band_pass_th</tt><tt class="py-op">,</tt> <tt class="py-param">low_pass_th</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line"><tt class="py-docstring">        Auxiliary function which has the shape of the spectrum of a band-pass filter in the</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line"><tt class="py-docstring">        log scale</tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"><tt class="py-docstring">        @param i: the index of the colour pallete element, integer from the interval 0..255</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-docstring">        @param band_pass_th: the initial value of function, i.e. when i = 0</tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"><tt class="py-docstring">        @param low_pass_th: the maximal value of function</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line"><tt class="py-docstring">        @return: the colour of the given element</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">i</tt><tt class="py-op">&lt;</tt><tt class="py-number">64</tt><tt class="py-op">:</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">low_pass_th</tt> <tt class="py-op">-</tt> <tt class="py-name">band_pass_th</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">64.0</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">band_pass_th</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">i</tt><tt class="py-op">&lt;</tt><tt class="py-number">192</tt><tt class="py-op">:</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">low_pass_th</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">low_pass_th</tt> <tt class="py-op">-</tt> <tt class="py-name">band_pass_th</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">255</tt><tt class="py-op">-</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">64.0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line"> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line">    <tt class="py-keyword">def</tt> <tt class="py-def-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-param">i</tt><tt class="py-op">,</tt> <tt class="py-param">high_pass_th</tt><tt class="py-op">,</tt> <tt class="py-param">low_pass_th</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line"><tt class="py-docstring">        Auxiliary function which has the shape of the spectrum of a band-pass filter in the</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line"><tt class="py-docstring">        log scale</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"><tt class="py-docstring">        @param i: the index of the colour pallete element, integer from the interval 0..255</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line"><tt class="py-docstring">        @param high_pass_th: the initial value of function, i.e. when i = 0</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line"><tt class="py-docstring">        @param low_pass_th: the maximal value of function</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line"><tt class="py-docstring">        @return: the colour of the given element</tt> </tt>
<a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">i</tt><tt class="py-op">&lt;</tt><tt class="py-number">64</tt><tt class="py-op">:</tt> </tt>
<a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">high_pass_th</tt> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">i</tt><tt class="py-op">&lt;</tt><tt class="py-number">128</tt><tt class="py-op">:</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">low_pass_th</tt> <tt class="py-op">-</tt> <tt class="py-name">high_pass_th</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">-</tt><tt class="py-number">64</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">64.0</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">high_pass_th</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">low_pass_th</tt> </tt>
</div><a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line">         </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line">    <tt class="py-keyword">def</tt> <tt class="py-def-name">decide</tt><tt class="py-op">(</tt><tt class="py-param">th</tt><tt class="py-op">,</tt> <tt class="py-param">i</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">        The function which selects which transformation to apply to the pallete,</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring">        whether low-pass or band-pass etc.</tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line"><tt class="py-docstring">        @param th: the threshold from which the low-pass is appied</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line"><tt class="py-docstring">        @param i: the index of the pixel</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line"><tt class="py-docstring">        @return: the value of the transformation</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">th</tt><tt class="py-op">&gt;=</tt><tt class="py-number">192</tt><tt class="py-op">:</tt> <tt class="py-keyword">return</tt> <tt class="py-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">th</tt><tt class="py-op">)</tt> </tt>
<a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">th</tt><tt class="py-op">&lt;</tt><tt class="py-number">64</tt><tt class="py-op">:</tt> <tt class="py-keyword">return</tt> <tt class="py-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt> </tt>
<a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt> </tt>
</div><a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line">     </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line">    <tt class="py-keyword">def</tt> <tt class="py-def-name">list_col2</tt><tt class="py-op">(</tt><tt class="py-param">i</tt><tt class="py-op">,</tt> <tt class="py-param">red_t</tt><tt class="py-op">,</tt> <tt class="py-param">green_t</tt><tt class="py-op">,</tt> <tt class="py-param">blue_t</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line"><tt class="py-docstring">        The function creates the pallete RGB for the image</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line"><tt class="py-docstring">        @param i: the index of the pixel</tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring">        @param red_t: the threshold for the red component</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring">        @param green_t: the threshold for the green component</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">        @param blue_t: the threshold for the blue component</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line"><tt class="py-docstring">        @return: the triplet of the RGB values for the given index</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">decide</tt><tt class="py-op">(</tt><tt class="py-name">red_t</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">decide</tt><tt class="py-op">(</tt><tt class="py-name">green_t</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">decide</tt><tt class="py-op">(</tt><tt class="py-name">blue_t</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line"> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line">    <tt class="py-keyword">def</tt> <tt class="py-def-name">list_col</tt><tt class="py-op">(</tt><tt class="py-param">i</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line"><tt class="py-docstring">        @param i: the index of the pixel</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line"><tt class="py-docstring">        @return: the RGB triplet of the given pixel</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">red_th</tt> <tt class="py-op">&gt;=</tt> <tt class="py-name">green_th</tt><tt class="py-op">:</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">green_th</tt> <tt class="py-op">&gt;=</tt><tt class="py-name">blue_th</tt><tt class="py-op">:</tt> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line">                <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">red_th</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">green_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">blue_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line">            <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">                <tt class="py-keyword">if</tt> <tt class="py-name">red_th</tt><tt class="py-op">&gt;=</tt><tt class="py-name">blue_th</tt><tt class="py-op">:</tt> </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line">                    <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">red_th</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">green_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">blue_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">                <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line">                    <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">red_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">green_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">blue_th</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">red_th</tt><tt class="py-op">&gt;=</tt><tt class="py-name">blue_th</tt><tt class="py-op">:</tt> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line">                <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">red_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">green_th</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">blue_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line">            <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line">                <tt class="py-keyword">if</tt> <tt class="py-name">green_th</tt><tt class="py-op">&gt;=</tt><tt class="py-name">blue_th</tt><tt class="py-op">:</tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line">                    <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">red_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">green_th</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">blue_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line">                <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line">                    <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">high_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">red_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">band_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">green_th</tt><tt class="py-op">,</tt> <tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">low_pass</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">blue_th</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
</div><a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line"> </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line">     </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line">    <tt class="py-name">lut</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt>  </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-number">255</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line">        <tt class="py-comment">#lut.extend(list_col2(i, red_th, green_th, blue_th))</tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">lut</tt><tt class="py-op">.</tt><tt class="py-name">extend</tt><tt class="py-op">(</tt><tt class="py-name">list_col</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line">    <tt class="py-name">lut</tt><tt class="py-op">.</tt><tt class="py-name">extend</tt><tt class="py-op">(</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt>  <tt class="py-comment"># Black</tt> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line"> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line"> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">c</tt><tt class="py-op">,</tt> <tt class="py-name">lut</tt><tt class="py-op">,</tt> <tt class="py-name">k</tt><tt class="py-op">,</tt> <tt class="py-name">rindex</tt><tt class="py-op">,</tt> <tt class="py-name">sindex</tt><tt class="py-op">)</tt> </tt>
</div><a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line"> </tt>
<a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line"> </tt>
<a name="PILtoImage"></a><div id="PILtoImage-def"><a name="L218"></a><tt class="py-lineno">218</tt> <a class="py-toggle" href="#" id="PILtoImage-toggle" onclick="return toggle('PILtoImage');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Utils-module.html#PILtoImage">PILtoImage</a><tt class="py-op">(</tt><tt class="py-param">pil</tt><tt class="py-op">,</tt> <tt class="py-param">alpha</tt><tt class="py-op">=</tt><tt class="py-name">True</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="PILtoImage-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="PILtoImage-expanded"><a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line"><tt class="py-docstring">    A function which converts a PIL Image to wx.Image</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line"><tt class="py-docstring">    @param pil: the input PIL image</tt> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line"><tt class="py-docstring">    @param alpha: the alpha channel</tt> </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line"><tt class="py-docstring">    @return: the wx.Image</tt> </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">alpha</tt><tt class="py-op">:</tt> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line">        <tt class="py-name">image</tt> <tt class="py-op">=</tt> <tt class="py-name">apply</tt><tt class="py-op">(</tt><tt class="py-name">wx</tt><tt class="py-op">.</tt><tt class="py-name">EmptyImage</tt><tt class="py-op">,</tt> <tt class="py-name">pil</tt><tt class="py-op">.</tt><tt class="py-name">size</tt><tt class="py-op">)</tt> </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line">        <tt class="py-name">image</tt><tt class="py-op">.</tt><tt class="py-name">SetData</tt><tt class="py-op">(</tt><tt class="py-name">pil</tt><tt class="py-op">.</tt><tt class="py-name">convert</tt><tt class="py-op">(</tt><tt class="py-string">"RGB"</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">tostring</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line">        <tt class="py-name">image</tt><tt class="py-op">.</tt><tt class="py-name">SetAlphaData</tt><tt class="py-op">(</tt><tt class="py-name">pil</tt><tt class="py-op">.</tt><tt class="py-name">convert</tt><tt class="py-op">(</tt><tt class="py-string">"RGBA"</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">tostring</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line">        <tt class="py-name">image</tt> <tt class="py-op">=</tt> <tt class="py-name">wx</tt><tt class="py-op">.</tt><tt class="py-name">EmptyImage</tt><tt class="py-op">(</tt><tt class="py-name">pil</tt><tt class="py-op">.</tt><tt class="py-name">size</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">pil</tt><tt class="py-op">.</tt><tt class="py-name">size</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line">        <tt class="py-name">new_image</tt> <tt class="py-op">=</tt> <tt class="py-name">pil</tt><tt class="py-op">.</tt><tt class="py-name">convert</tt><tt class="py-op">(</tt><tt class="py-string">'RGB'</tt><tt class="py-op">)</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line">        <tt class="py-name">data</tt> <tt class="py-op">=</tt> <tt class="py-name">new_image</tt><tt class="py-op">.</tt><tt class="py-name">tostring</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line">        <tt class="py-name">image</tt><tt class="py-op">.</tt><tt class="py-name">SetData</tt><tt class="py-op">(</tt><tt class="py-name">data</tt><tt class="py-op">)</tt> </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">image</tt> </tt>
</div><a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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